摘要
为了解决利用积分变换方法在求解Lord-Shulman(L-S)型广义热弹性耦合二维问题时由于数值反变换所引起的计算精度降低的问题,该文采用新近被应用的直接有限元方法,求解了基于L-S型广义热弹性理论的半无限大体受热冲击作用的动态响应问题,结果表明,该方法对求解L-S型广义热弹性耦合二维问题具有很高的精度。该文给出了L-S型广义热弹性理论下的热弹耦合的控制方程,建立了L-S型的广义热弹性问题的虚位移原理,推导得到了相应的有限元方程。经计算得到了半无限大体中无量纲温度、位移及应力的分布规律,从温度分布图上可以清晰地观察到热波波前的特有属性,即热波波前处存在温度突变。
To maintain the calculation precision in solving Lord and Shulman（L-S） type generalized thermoelastic problems by means of integral transform technique,the newly developed so-called direct finite element method is adopted to solve the dynamic response of a two-dimensional half-space subjected to a thermal shock,in which the generalized thermoelastic coupling is considered.In the context of Lord and Shulman generalized thermoelastic theory,the results are obtained with high precision by using the direct finite element method.The L-S type generalized thermoelastic coupling governing equations,the general form of virtual displacement principle as well as the corresponding finite element equations are formulated in this paper.The distributions of dimensionless temperature,dimensionless displacement and dimensionless stress are generated and displayed graphically.The distribution of temperature demonstrates clearly the unique characteristic of heat wave front,i.e.,a sharp jump of temperature in the position of heat wave front.
出处
《工程力学》
EI
CSCD
北大核心
2011年第12期1-6,共6页
Engineering Mechanics
基金
国家自然科学基金项目(11072101
10872083)
中国博士后科学基金特别资助项目(200902310)
教育部留学归国人员科研启动基金项目
关键词
广义热弹性理论
热冲击
热波
有限元
热弹耦合
generalized thermoelastic theory
thermal shock
heat wave
finite element method
thermoelastic coupling
